dataset_version timestamp[s] | queId stringlengths 32 32 | difficulty stringclasses 5
values | qtype stringclasses 1
value | problem stringlengths 6 2.89k | knowledge_point_routes list |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | 34a8b75acf004a629ab022c2cfb11cd3 | 1 | short_answer | Find the last two digits in $$1+11+111+1111+\cdots +\underbrace{111\cdots 111}_{50 1\text{s}}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders "
] |
2023-07-07T00:00:00 | 2addb83d9ec14899ae26c229580cd24c | 1 | short_answer | Einstein can afford to buy either $$6$$ apples and $$7$$ bananas or else $$8$$ apples and $$4$$ bananas. Both options leave him with no change whatsoever. If, however, he bought only bananas, how many could he afford? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Object Substitution"
] |
2023-07-07T00:00:00 | 03505bb4be72488c85f4a43b911b69fb | 1 | short_answer | A class is holding a maths competition and a coding competition. Every student is required to participate in at least one of them. There are $$36$$ students participating in the coding competition; $$21$$ students participating in the math competition and $$20$$ students participating in both. Find the total number of ... | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 8897310e705d4b0996136ec5d1345eb8 | 3 | short_answer | How many different ways can you place $15$ envelopes in the following 4 mailboxes so that there are at least $2$ envelopes in box $A$, at least $4$ envelopes in box $B$, and at least $3$ envelopes in box $C$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | ffec8472e27a457186b91c2a9b4876f7 | 2 | short_answer | Leo is doing a decimal division, but he forgets to put down the decimal point of the divisor $$2.11$$. The result turns out to be $$98.01$$ less than the true result. What is the value of the true result? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 3be71ea95b604423b0c4053a0bdc5fc8 | 1 | short_answer | A class has 44 students participating in competitions, 30 of whom participate in math competitions and 26 in art competitions. How many students participate in both math and art competitions? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | da34c13acd4f4312a4166e9435990496 | 1 | short_answer | John and Choon Mui had the same amount of money. When John spent $$$30$$ and Choon Mui spent $$$150$$, John found that the amount he had left was four times as much as the amount of money Choon Mui had left. How much money did John have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 3a6ea0bb1dac4585a29c21ba5dadca5d | 1 | short_answer | How many seconds are there in one week? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Time"
] |
2023-07-07T00:00:00 | 8d5bc66e7f26483e93a8178a57870366 | 3 | short_answer | \textbf{Percentage Single Base} On the first day of an amusement park\textquotesingle s opening, the number of male visitors was 450 more than the number of female visitors. On the second day, the number of female visitors increased by 15\% but the number of make visitors decreased by 18\%. The total number of visitor... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | db8434167bdb42b494e99767df043336 | 1 | short_answer | An egg-seller sold $$5$$ eggs more than half the number of eggs in his basket. He then sold $$4$$ eggs fewer than half of the remaining eggs in his basket. If he was left with $$15$$ eggs, how many eggs were in the basket at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 88e8074a774845edbbc61fbfd06e2d2f | 1 | short_answer | County highway~ has a speed limit for motor vehicles at $65$ miles per hour. If a car drives at the limited speed for $$15$$ minutes, how many kilometers can it travel? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | b5f4586abff348538a08b5773026326b | 0 | short_answer | Increase by the given percentage $200$ by $10 \%$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 953c0cd469784f418a1e4b46c24aa581 | 0 | short_answer | I am making a scale model of my yacht, which is $8\text{m}$~long. If the scale is $1:20$, how long will the model yacht be (in~$\text{cm}$)? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale"
] |
2023-07-07T00:00:00 | 026cc253a39b4f7a8ff32127b4f5f99c | 1 | short_answer | In $7$W there are $28$ girls. $20$ like One Direction. $17$ like The Vamps. $15$ like both One Direction and The Vamps. How many girls like neither One Direction nor The Vamps? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 61fc4738f46a4c1da0407128ad60defd | 1 | short_answer | (UK Dulwich College year $7$ maths specimen paper C mark scheme Question \# $3 $) $$617\times6$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 5bf8127164644eda8c073097bd158315 | 1 | short_answer | Multiply $$193$$ by $$72$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | ff891cbe817f4502a65021a59cdc3af5 | 1 | short_answer | Four people stand in a line in order $$A$$ $$B$$ $$C$$ $$D$$. The people then change positions in the line so that \textbf{no one person is left standing in the same position as they were to start with}, for example, $$C$$ $$A$$ $D$ $$B$$. How many possible ways are there of doing this? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Permutations->Basic Applications of Permutations"
] |
2023-07-07T00:00:00 | 7d6f9d84e0f64b73964b90b16040c92d | 1 | short_answer | Mrs Tan shared $175$ balloons equally among $7$ pupils. How many balloons did each pupil get? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 4af723c7f6a341b197db0f858a97435c | 1 | short_answer | Khatijah throws two dice and adds together the scores. How many different ways can she score $$8$$? Show each different way clearly. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Rolling Dice"
] |
2023-07-07T00:00:00 | 362010cacc1c428e87e8f76968f8b0d1 | 1 | short_answer | A snail wants to climb out of a $$11-$$metre burrow. It climbs up $$3$$ metres during the day and slides down $$1$$ metres at night. Exactly on which day can the snail climb out? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | af71ae92175c47c2bbfef7d6d4226104 | 1 | short_answer | Tom starts a savings account with ＄$$12000$$ at a bank. The interest rate is calculated at $$10 \%$$ on a yearly basis. How much will he get at the end of $$2$$ years? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 372a0dd4bdd148518598bd5418fd17af | 1 | short_answer | Solve the following equation: $$95 \%x-\frac{2}{5}x=55$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | d4d78225836642e3a6857447ae177c76 | 1 | short_answer | Calculate $2.4 \times \left( {3.7 + 1.3} \right) \div 2$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Four Operations of Decimals"
] |
2023-07-07T00:00:00 | bb7980b8187641c693b65724c3bf2545 | 1 | short_answer | Pip thinks of a number. When the number is divided by $$7$$, the remainder is $$2$$. When the number is divided by $$13$$, the remainder is $$2$$. It is less than $$100$$. What is the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 932cd151b950413daad721128c59b65f | 1 | short_answer | John is paid $$ $78$$ for $$6.5\text{h}$$ of work. John then calculated that if he were to work $8$ hours a day for the whole of this week, he will be able to pay off his $ $700$ debt. After collecting his pay at the end of the week, his jaw dropped as he realised he still could not pay off his debt. Why? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 1a52a8a55f6a4622afbe5b311556da89 | 1 | short_answer | $$53\times627$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 546aa08753494a909833d0621b194317 | 1 | short_answer | Eric is going to travel from $A$ to $B$. The air ticket is $800$ dollars and the train ticket is $378$ dollars. How much is the air ticket more expensive than the train ticket? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | fea0f54b7aae43d2aa3a63d63126d66b | 1 | short_answer | Maybelline ends work at $$20:30$$. She works for $$8\textasciitilde\text{h}\textasciitilde45\textasciitilde\min$$. What time does she start work? Express your answer in the $$12$$-hour clock.~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 40fa5f91d7774c719164c67d4befac6e | 1 | short_answer | Do you know the value of A? A=~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)"
] |
2023-07-07T00:00:00 | c569206e3d8e45da9a5fd08bd75dd481 | 0 | short_answer | Round $$14575$$ to the nearest $$100$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers"
] |
2023-07-07T00:00:00 | 18d69d8447c241eba858de2a934b9dd6 | 1 | short_answer | How many of the numbers from 100 to 999 have exactly one zero digit? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 0420376192d448b6b35d8dbb1e3ba394 | 1 | short_answer | Arjun gets his hair cut every $$2$$ weeks. Yahya gets his hair cut every $$10$$ days. They both got their hair cut on the same day. How long until this happens again? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Two Numbers"
] |
2023-07-07T00:00:00 | f0fbdd43508d4b8bac3f15715fcfe710 | 1 | short_answer | At Think Olympics, Jack completes an $$800-$$meter race. He runs the first $$280$$ meters at a speed of $$7$$ meters per second, the middle $$400$$ meters at a speed of $$5$$ meters per second, and in the sprint stage, Jack runs at a speed of $$8$$ meters per second. Find the time Jack spends to complete the race (in s... | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | 0ea8d4a5251c4d73939b3f7e26abc354 | 1 | short_answer | If the four-digit number $$\overline{2\square 9\square }$$ is divisible by both $$3$$ and $$5$$, find the sum of all the possible four-digit numbers.~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 3a8af64305054e408ce6703563a42e67 | 1 | short_answer | A crew of workers is planting trees on one side of a $$42-$$meter highway every $$7$$ metres apart. If there are no trees planted on both ends of the highway, the workers plant a total of~\uline{~~~~~~~~~~}~trees. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Planting Trees only on One Side (straight line type)",
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides",
"Overseas Competition->Knowledge Point->Word Pr... |
2023-07-07T00:00:00 | a50c5ac06f154c1ab40822b47b13e86a | 2 | short_answer | Hillary collected some stamps. She gave $14$ stamps to her sister and bought $11$ more stamps from Singpost. After which, she used $2$ stamps to send a letter to her friend in Malaysia. In the end, she has $34$ stamps left. How many stamps does she have at first?~\uline{~~~~~~~~~~}~stamps | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems"
] |
2023-07-07T00:00:00 | 063e43565ec941b8b309de1ea64f2a4d | 1 | short_answer | Lucas is the owner of a shoe shop. One day, a customer bought a pair of shoes costing £$30$ with a £$50$ note. Lucas then went to the supermarket for some change. Afterwards, the owner of the supermarket found out that the £$50$ note was fake, and Lucas had to pay the £$50$ back. Knowing that the shoes cost £$30$, how ... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 51012ecffd1f47a19d29d548fccb4460 | 1 | short_answer | Work out: $21+22+23+\dots+97+98+99$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 9929cc1f915941dd90453af8a8ff6e9d | 1 | short_answer | Work out $$\frac{5}{7}$$ of $$112$$ Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 8a5fc0b3c5f6473db327f5603655842e | 1 | short_answer | In how many ways can $$10$$ students $$A, B, C, D, E, F, G, H, I, J$$ line up in a row if students $$A, B$$ and $C$ are always next to each other? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Permutations->Basic Operations of Permutations",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 5af9d49786184344b4cc613f0a935eb9 | 2 | short_answer | ``$$123456789101112\cdot \cdot \cdot 2930$$'' is a number, we remove 46 numbers forming a new number that is not 0. Then the smallest number we can get is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"
] |
2023-07-07T00:00:00 | cb7070ea663b4e43bd0e3c4a4ae168ef | 1 | short_answer | $$6\times9 \times 12 =$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | b94280bff5ab40d6a0f1f51b73c6b796 | 1 | short_answer | There are 5 white balls and 6 blue balls in a bag. How many balls would you need to take out at least to guarantee that you have a white ball?（⭐⭐） | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | 79102f1901d94f8aaf6295c7c0b16f08 | 0 | short_answer | How many ways can we pick $4$ students from a group of $15$ to be on the football team? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | b96c9f2ccbdd4053bb3e1c306d2c7cbe | 2 | short_answer | James has 24 marbles. Linda has $\dfrac{1}{2}$as many marbles as James. Ben has $\dfrac{1}{4}$~as many marbles as Linda. How many marbles do they have altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | b50b389683c44f05a3574ad0a3a8b04f | 2 | short_answer | Find the value of the following expression. $$ (1+2+3+4)\times 1-(2020+2019+2018)\times 0 $$ =~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"
] |
2023-07-07T00:00:00 | c5940c9b3ba945a795c1c8d4bf2dc024 | 1 | short_answer | Tie three $$20$$ cm short ruler with rope to form a long ruler. The overlapping part between the two short ruler bundles is $$3$$ cm long. How many centimeters is the length of the bundle? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Overlapping"
] |
2023-07-07T00:00:00 | 38bb0a271e854cfb911c418384137f41 | 1 | short_answer | Every morning, Star goes out to exercise. At $$\rm 6:30$$ a.m., Star leaves home and jogs at a speed of $$6$$ miles per hour. At $$\rm 7:30 $$ a.m., Star feels a little bit tired and walks at a speed of $$5$$ miles per hour. At $$\rm 9:30$$ a.m., Star finishes her exercise. How many miles does Star travel in total ever... | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | d3fe3513b7b8439ca80784b696227f81 | 1 | short_answer | A factory recycles paper cups for use in its canteen. Seven used cups are needed to make each new cup. From $$721$$ used cups, how many new cups can be made \textbf{in total,} if \textbf{all the used cups get recycled?} | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Fun Math Problems->Empty Bottles Swapped for Drinks->Allowing Borrowing "
] |
2023-07-07T00:00:00 | 1dc8d2d4657c44f2aa1053854785aaa4 | 0 | short_answer | What number (written in digits) is two hundred and twenty two less than two thousand? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Expression of Place Value Principle",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Number... |
2023-07-07T00:00:00 | de53e5290acf446d8f9e2d2cf711b150 | 1 | short_answer | A vegetable plot is $23$ metres long. Cauliflowers are planted in a row down the length of the plot. They are planted $$15$$ cm apart and the first cauliflower is planted $$20$$ cm away from the start. If a Cauliflower has a width of $$45$$ cm, how many cauliflowers can be planted in the plot? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides->Planting Trees on Both Sides"
] |
2023-07-07T00:00:00 | c12d1d0039a7413aa3e069eb8b681b38 | 1 | short_answer | Mary bought a sticky note, and she recorded the number of pages she used in $6$ days. She used $14$ pages per day in the first $3$ days, $9$ pages per day for the following $2$ days and $12$ pages on the sixth day. How many pages did Mary use on average per day? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | 140462dc7e4c435c900bfaf90640d4f4 | 1 | short_answer | At the school scavenger hunt, class $A$, $B$, $C$ each has $8$, $12$, $20$ students who want to particpate. The participating students will need to split into groups of the same size. They can\textquotesingle t group up with students from other classes. How many students will each group have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Multiple Numbers"
] |
2023-07-07T00:00:00 | 19ee53ef309b4ac1b03a0754f950fa53 | 3 | short_answer | A Badminton Club had thrice as many members as the Bowling Club. However, after $$36$$ members left the Badminton Club and $$4$$ members left the Bowling Club, the two clubs had the same number of members in the end. How many members did each of the clubs have in the end? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | d433f6c9238447089a529b20f6d55cfc | 1 | short_answer | Evaluate: $$20^{2}-18^{2}+19^{2}-17^{2}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula"
] |
2023-07-07T00:00:00 | 2f9549d4e4cd4be0a3da0b27a9aeb039 | 1 | short_answer | The speed of sound is about $3.4 \times 10^{2}$ meters per second. How long does it take for sound to travel $1.5$ kilometers? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | f136e2a0e618480e99a0044f35156610 | 1 | short_answer | How many different positive whole numbers are factors of $$72$$? (remember to include $$1$$ and $$72$$ as factors) | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Theorem of the Number of Factors of a Number->Applying Theorem of the Number of Factors of a Number Directly->The Total Number of Factors"
] |
2023-07-07T00:00:00 | 59dd5e71c11a413fac9da29a37a1201b | 1 | short_answer | How many pages are there from page $$1$$ to page $$100$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence between Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | 89588201f7f94ac8a1d4119cac4fc1e5 | 0 | short_answer | \textbf{$$n$$~}is the number where $$n\times5=4.5$$ \textbf{$$n=$$}~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient"
] |
2023-07-07T00:00:00 | abce3e56fd794c2e9db7fff1d57bab61 | 1 | short_answer | Find the difference between `one thousand, two hundred and thirty four' and `six hundred and seventy eight'? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"
] |
2023-07-07T00:00:00 | dc773bc479574ee4a35fac2c1bab3b74 | 2 | short_answer | The total value of the numbers printed on some cards is $$ 504$$ . Each card is printed with a different $$3$$ digit odd number. The average value of all the numbers is $$ 126$$ . The difference between the greatest and smallest number is $$6$$. Find the smallest number printed on the cards. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | cc28359065b040f0baac3572436155d0 | 1 | short_answer | Wendy is twice as old as Vivien. Vivien was $$\frac{1}{4}$$ as old as Wendy $$10$$ years ago. How old is Wendy in $$5$$ years\textquotesingle{} time? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Varying Multiples in Age Problems"
] |
2023-07-07T00:00:00 | caa371df0a494602a41234dce6604f84 | 2 | short_answer | How many zeros does the number $301\times302\times303\times\cdots\times998\times999$~end with？ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product"
] |
2023-07-07T00:00:00 | 6d85c136dca14c8fb76cfaff88586b4f | 1 | short_answer | $5.2 \div 10$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 90378da3a7ee431ca10e34550d2fde15 | 1 | short_answer | Find the integer part for the sum of the following expression. $$\dfrac{1}{10}+ \dfrac{1}{11}+ \dfrac{1}{12}+ \cdots + \dfrac{1}{19}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Scaling"
] |
2023-07-07T00:00:00 | bc0c739adc5f403fb13b64dab9bc2e64 | 1 | short_answer | Find the value of $x$：$$3x-(2x+3)=5$$ Pip\textquotesingle s answer：$$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde3x-2x+3=5$... | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 5e7272ec96dc4c028e0cf9d07c5a405f | 2 | short_answer | There are $90$ more boys than girls in a school. The ratio of the number of girls who can swim to the number of girls who can not swim is $31 : 49$. The number of boys who can swim is $120$ less than the number of boys who can not swim. If there are $1690$ pupils in the school, how many pupils can not swim?~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 23fdb74183d9468b86a9a1e7485a3ab9 | 2 | short_answer | Find a two-digit multiple of 6 which is one more than a multiple of 13. | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication"
] |
2023-07-07T00:00:00 | 25a45bd50b6544e0923661f3f0222503 | 1 | short_answer | The golden rabbit and the sea turtle were having a $$6990-$$metre race. They started running at the same time. The golden rabbit ran at a speed of $$330\rm m/\min$$ and the sea turtle ran at a speed of $$30\rm m/\min$$. Ten minutes later, the rabbit felt confident and slept for $$215$$ minutes. Then he woke up and cont... | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | e37f0736fbf94dbbadaa812272966e1b | 1 | short_answer | $$617-385$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"
] |
2023-07-07T00:00:00 | f04bf8b6007544d3b9bb2fd42578dd8c | 2 | short_answer | Bolt and Boris were running. After a while, Bolt has run $$1656$$ metres more than Boris, and the distance Bolt has finished is $$280$$ metres more than $$5$$ times that of Boris. What was the total distance they have run? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 57b28975ea284c60b94b10c37a4a685a | 1 | short_answer | All the students of Class Two grade six have taken part in English or math interest classes, $$20$$ have taken part in English interest classes, $$35$$ have taken part in math interest classes, $$15$$ of them have taken part in two interest classes, so how many students are there in class two grade six? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | a989d97e5a634181a65ac6343582a44d | 2 | short_answer | Euan\textquotesingle s pocket money went up by 10\% each year from 2018 to 2020. In 2020 he received £484 in pocket money. How much did he receive in 2018? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | d40336763f3641a1be634dae96636feb | 1 | short_answer | Work out: $4\times\left( 2+7\right)-2\times\left( 5+3\right)$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 20418f7933e340978dd3bd82bcc92a3e | 0 | short_answer | In how many ways can seven people line up in a row if three of them don\textquotesingle t want to stand next to each other? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 12e5a736389f435683bb5c8e50d61e2b | 1 | short_answer | Athletes are arranged in several rows at the opening ceremony of Think Olympics. The numbers of athletes in each row form an arithmetic sequence. There are $$10$$ athletes in the first row and $$25$$ athletes in the fourth row. Given that there are in total $$25$$ rows, find the total number of athletes at the opening ... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] |
2023-07-07T00:00:00 | 0e3fbb38811f4247902fb227b710e62e | 1 | short_answer | There are $12$ boys in the class. The ratio of boys to girls is $1:2$. How many students are there in the class? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 4d62c7befaad4eceb13cc1cd164eebe3 | 1 | short_answer | What is the number of zeros at the end of the product $$1\times 2\times 3\times \cdots \times 789$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"
] |
2023-07-07T00:00:00 | d1bd5b0281c14603821cd856c0814f93 | 2 | short_answer | $$10+11+12+\cdots +19+20=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 49744fee4f6447fcb89a783113d3f0c0 | 2 | short_answer | Team $$A$$ and Team $$B$$ are having a mathematics contest. The average score of Team $$A$$ is $$76$$, while the average score of Team $$B$$ is $$67$$. Given that the average score of the two team in combined is $$70$$, and there are $$20$$ students in Team $$A$$, how many students are there in Team $$B$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | bef9ea98d3814300913ad8631dcc87c7 | 1 | short_answer | A math competition had $100$ participants. To guarantee that the school with the most participants had at least $4$ participants, at most how many schools attended this competition? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | bddc0899c1ca45f1a66f449e0e844404 | 1 | short_answer | $23 \times 76$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | cde4477099f04ff785b49a2072d18f0b | 1 | short_answer | Emily bought 195 cakes for the party and each cakes costs £46. How much does she spend for cakes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | 6f4e289e9e9942129769e8733efea31f | 1 | short_answer | A twenty-four hour digital watch shows only hours and minutes. How many times each day does the watch show at least two fours simultaneously? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Reading the Clock"
] |
2023-07-07T00:00:00 | 3bda0dbde94744968aa0181ba1cc0bac | 1 | short_answer | Make two $$3-$$digit numbers from the following group of numbers $$1$$, $$2$$, $$ 3$$, $$ 7$$, $$ 8$$ and $$9$$, and each number can be used only once. Find the lowest possible value of the product of these two numbers. | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Forming a Maximum/Minimum Multi-Digit Numbers with Fixed Sums"
] |
2023-07-07T00:00:00 | cd817843175e41e8b65030d600357b18 | 2 | short_answer | $$\overline{ABCD}$$ represents a $$4$$-digit number, and $$\overline{EFG}$$~ represents a $$3$$-digit number. $$A-G$$ each represents a different number from $$1$$ to $$9$$. Given that the sum of these two numbers is $$1993$$, find the difference between the largest possible product and the least possible product of th... | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | e9c5342a82354465b6f16c78f081eeab | 1 | short_answer | In a board game, Miranda and Sam use regular dice to decide how many steps they can go each time. If Sam wants to get from the $$1$$\textsuperscript{st} position to the $$25$$\textsuperscript{th} position as fast as he can, he needs to roll the regular dice at least~\uline{~~~~~~~~~~}~times. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | a51bd65e7b8041c29809ddac356ad0cd | 1 | short_answer | Calculate: $$2019+1969+1919+\cdots +119+69+19$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 018443a51fa1436b9ab0ca6c0c37b98f | 2 | short_answer | The sum of the digits of a $$2-$$digit number is $$15$$. What is the smallest possible such $$2-$$digit number? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | e17d88a82a53495296ec5959ab199254 | 1 | short_answer | $4.5\times14$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | 2edcaf59ada74114ad5ad084b9daa534 | 2 | short_answer | What is the value of $$2-(-2-2)-(-2-(-2-2))$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | c46f174aa4ca4269bd208d1d522bca03 | 1 | short_answer | $43-5.2+1.03$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Mixed Operations of Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | d77bee6b305846ecbd5dff987f4e42d6 | 1 | short_answer | Calculate $0.45 + 1.02 + 3.003$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | ccee4c3a5a784522aa2ab0b3f57c382d | 1 | short_answer | Calculate: $20.23\times321+202.3\times45.6+2.023\times2230=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | a05a23198be14a49b4fffef79e084b27 | 1 | short_answer | A mouse is trying to climb out of a hole which is $220\text{cm}$~deep. Each hour, she manages to climb $40\text{cm}$, but slips back $10\text{cm}$~when she stops for a rest. How many hours will it take her to reach the top of the hole? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 6cdbe58e9a9f4186995fe83503eec2d2 | 1 | short_answer | With the digits $0-9$, what is the largest prime number that can be formed, which is less than $30$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | 6114bae2343b4198a428d3afa112c960 | 1 | short_answer | What is the missing number in the box below? $$3000+ \boxed{?} +80+9=3989$$ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"
] |
2023-07-07T00:00:00 | 90f6519f131740598ed9fbc1b29e3f94 | 1 | short_answer | A group of $5$ typists are able to type $$6000$$ words in $$20$$ minutes. They were tasked to type out $9000$ words. However, $2$ of them fell sick. One of them declared: "We need $45$ minutes to finish this job!" Is he correct? If not, how long do they need? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | aacb3756717d41cc8276dc87aede4f8c | 1 | short_answer | At a grocery store, the price of each cabbage is $ $0.96$. Katie bought $8$ cabbages. If she can buy $6$ identical lettuces with the same amount of money, what is the price of each lettuce? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 019ec282bc4a45b8a08add1000a1c483 | 1 | short_answer | （$$2016$$ Henry Park Primary School, Quiz $$1$$, Primary Two, Question \#$$15$$） Yen\textquotesingle s grandparents gave her ＄$$388$$ for her birthday. She spent ＄$$97$$ on a pair of shoes and saved the rest. How much money did Yen save? Yen saved ＄~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.